Information on Result #1028640
Linear OOA(2188, 68, F2, 3, 111) (dual of [(68, 3), 16, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- extended Reed–Solomon code RSe(4,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OOA(28, 4, F2, 3, 7) (dual of [(4, 3), 4, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2188, 68, F2, 3, 110) (dual of [(68, 3), 16, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2188, 68, F2, 3, 109) (dual of [(68, 3), 16, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2188, 68, F2, 3, 108) (dual of [(68, 3), 16, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2188, 34, F2, 6, 111) (dual of [(34, 6), 16, 112]-NRT-code) | [i] | OOA Folding | |